
Andrew M. answered 01/15/17
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
Parallel lines have the same slope.
The x-axis is simply a horizontal
line: y=0
The same as y = 0x + 0
The slope is zero
Any parallel line will also have a slope
of zero and be of the form y = c
where c is a number
The line passing through (2,-3) parallel
to the x-axis is
y = -3
Heaven V.
are there any solution for this? to prove why
Report
01/17/17

Andrew M.
Yes, this is sure.
The x-axis is the line
y = 0
It is a line with slope m=0 and
y-intercept at (0,0) .. The origin.
Any other line parallel to it also
has slope m=0.
y = 0x + b
y = b
where b is any number other than zero.
In order for it to go through (2, -3) it
must be y = -3
y = 0x + b
plug in your point (2, -3) for (x, y)
and solve for b
-3 = 0(2) + b
-3 = b
y = 0x - 3
y = -3
Report
01/17/17
Heaven V.
01/17/17